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3 years ago

Which characteristics of a graph tell you that it represents a proportional relationship?

Mathematics

3 answers:

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

Any line passing through the origin represents a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and<u> the line passes through the origin</u>

therefore

Any line passing through the origin represents a proportional relationship

Tanya [424]3 years ago

3 0

Answer:

A line passing through the origin and that is a straight line represents a proportional relationship

Step-by-step explanation:

Lina_smartkid2 years ago

0 0

You can tell a graph is proportional if the points form a single line and that line passes through the origin. The relationship between input and output figures will also remain the same throughout.

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8. What expression is equivalent to 3y – 21?

disa [49]

3(y-7)

use distributive property

3 0

2 years ago

Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by

Crazy boy [7]

Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is $2x+3y\le12$

Then the corresponding linear equation is $2x+3y=12$

When x=0, we have $2*0+3y=12$

$\implies 3y=12\implies y=4$

When y=0, we have $2x+3*0=12$

$\implies 2x=12\implies x=6$

The T-table is:

0 | 4

6 | 12

We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

$2*0+3*0\le12$

$0\le12$ ....This is true so we shade the lower half plane as shown in the attachment.

6 0

3 years ago

Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by

Ulleksa [173]

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

7 0

3 years ago

In poker, a flush is when all five cards are the same suite, what is the probability the first card is a club?

solong [7]

There are 13 clubs and 52 cards for a probability of 13/52= 1/4 for the first card being a club...

5 0

3 years ago

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platfo

chubhunter [2.5K]

Answer:

1920π

Step-by-step explanation:

First, you need to find the volume of the statue in terms of pi.

Volume of cylinder formula:

V=πr²h

V=π4²15

V=π16×15

V=240π

Then, you need to find the mass of the statue.

Mass:

Mass= density × volume

Mass=20×240π

Mass=4800π

Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:

V=mass of sand/density

V=4800π/2.5

That gives you your answer:

1920π

Note: I had to do the exact same problem on Khan Academy. This is right.

3 0

2 years ago